On the problem of V. N. Dubinin for symmetric multiply connected domains
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DOI: 10.1007/s10958-018-3665-8
Abstract: The problem of maximum of the functionalInγ=rγB00∏k=1nrBkak$$ {I}_n\left(\upgamma \right)={r}^{\upgamma}\left({B}_0,0\right)\prod \limits_{k=1}^nr\left({B}_k,{a}_k\right) $$is considered. Here, γ∈0n,a0=0,ak=1,k=1,n¯,ak∈Bk⊂ℂ¯,k=0,n¯,Bkk=1n$$ \upgamma \in \left(0,n\right],{a}_0=0,\kern0.5em \left|{a}_k\right|=1,k=\overline{1,n},{a}_k\in {B}_k\subset \overline{\mathrm{\mathbb{C}}},\kern0.5em k=\overline{0,n},\kern0.5em {\left\{{B}_k\right\}}_{k=1}^n $$ are pairwise non-overlapping domains, Bkk=0n$$ {\left\{{B}_k\right\}}_{k=0}^n $$ are symmetric domains with respect… read more here.
Keywords: left right; problem dubinin; kern0 5em; dubinin symmetric ... See more keywords